Percentage Calculation Demystified: Formula and Example

_{November 19, 2023 by JoyAnswer.org, Category : Mathematics}

What is the formula for calculating percentage with example? Understand the formula for calculating percentages with a practical example. This guide breaks down the percentage calculation process, providing clarity on the mathematical steps involved.

Table of Contents

1. What is the formula for calculating percentage with example?
2. What is the formula for calculating percentages, with an illustrative example?
3. How to compute percentages using the percentage formula, demonstrated through an example?
4. Are there different scenarios showcasing the application of the percentage calculation formula?

What is the formula for calculating percentage with example?

The formula for calculating a percentage is given by:

$\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$

Here's a breakdown of the terms in the formula:

$\text{Part}$ : The specific value you want to find the percentage of.
$\text{Whole}$ : The total or the whole amount.

Let's look at an example to illustrate how to use the percentage formula:

Example:Suppose you have a class of 30 students, and you want to find out what percentage of the students scored an "A" in a test. If 15 students received an "A," you can use the formula:

$\text{Percentage of students with an "A"} = \left( \frac{15}{30} \right) \times 100$

Now, perform the calculation:

$\text{Percentage of students with an "A"} = \left( \frac{1}{2} \right) \times 100$

$\text{Percentage of students with an "A"} = 0.5 \times 100$

$\text{Percentage of students with an "A"} = 50\%$

So, 50% of the students in the class scored an "A" on the test.

In summary, to calculate a percentage, divide the part by the whole, multiply by 100, and add the percentage symbol. This formula is versatile and can be used in various contexts, such as calculating the percentage of a total, percentage change, or percentage difference.

What is the formula for calculating percentages, with an illustrative example?

The formula for calculating percentages is:

Percentage = (Part / Whole) × 100%

Where:

Part is the value you want to express as a percentage.
Whole is the total value.

For example, if you want to find out what percentage of 50 is 20, you would use the following formula:

Percentage = (20 / 50) × 100% = 40%

This means that 20 is 40% of 50.

How to compute percentages using the percentage formula, demonstrated through an example?

Let's say you have a class of 30 students, and 18 of them are girls. To find out what percentage of the class is girls, you would use the following formula:

Percentage = (18 / 30) × 100% = 60%

This means that 60% of the class is girls.

Are there different scenarios showcasing the application of the percentage calculation formula?

Percentages are used in a wide variety of situations, including:

Sales and discounts: Percentages are often used to express discounts and markdowns. For example, a store might offer a 20% discount on all items.
Grades and test scores: Percentages are often used to express grades and test scores. For example, a student might get a 90% on a math test.
Polls and surveys: Percentages are often used to express the results of polls and surveys. For example, a poll might find that 80% of people support a certain issue.
Financial planning: Percentages are often used to express interest rates, savings rates, and other financial information. For example, a bank might offer a savings account with a 2% interest rate.

Percentages are a versatile and useful way to express information, and they can be used in a wide variety of situations.